1012000102100 has 36 divisors (see below), whose sum is σ = 2364966395484. Its totient is φ = 373661575680.

The previous prime is 1012000102093. The next prime is 1012000102109. The reversal of 1012000102100 is 12010002101.

It can be written as a sum of positive squares in 6 ways, for example, as 336309526084 + 675690576016 = 579922^2 + 822004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012000102109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389229509 + ... + 389232108.

Almost surely, 2^{1012000102100} is an apocalyptic number.

1012000102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012000102100 is an abundant number, since it is smaller than the sum of its proper divisors (1352966293384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1012000102100 is a wasteful number, since it uses less digits than its factorization.

1012000102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778461644 (or 778461637 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1012000102100 its reverse (12010002101), we get a palindrome (1024010104201).

Subtracting from 1012000102100 its reverse (12010002101), we obtain a palindrome (999990099999).

The spelling of 1012000102100 in words is "one trillion, twelve billion, one hundred two thousand, one hundred".